13/77 as a decimal
13/77 as a decimal is 0.168831… (the digits 168831 repeat forever), which is 0.17 rounded to 2 decimal places.
Change either number to try your own. The digits 168831 repeat. Rounded to 2 places: 0.17. In lowest terms: 13/77.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 13 by the bottom number 77.
- 2
77 does not go into 13 even once, so the whole part is 0 and we carry on after the decimal point.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 77, and write the digit. A remainder comes back after 6 steps, so the digits 168831 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{77} = 0.\overline{168831} \]
\[ \frac{13}{77} = 13 \div 77 \]Long division of 13 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 77 = 1 | 53 |
| 2 | 530 | 530 ÷ 77 = 6 | 68 |
| 3 | 680 | 680 ÷ 77 = 8 | 64 |
| 4 | 640 | 640 ÷ 77 = 8 | 24 |
| 5 | 240 | 240 ÷ 77 = 3 | 9 |
| 6 | 90 | 90 ÷ 77 = 1 | 13 |
Questions
What is 13/77 as a decimal?
13/77 as a decimal is 0.168831… (the digits 168831 repeat forever), which is 0.17 rounded to 2 decimal places.
Is 13/77 a terminating or a repeating decimal?
It repeats. The bottom number 77 = 7 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 168831 (6 digits) repeats.
What is 13/77 as a percent?
13/77 is 16.883116…% as a percent.
How do I round 13/77 to 2 decimal places?
13/77 rounded to 2 decimal places is 0.17.